Download VII Maths (I SEM)

1
QUESTION BANK
STD VII
MATHS
I SEMESTER
UNIT-1
INTEGERS
I. Fill in the blanks: (1m)
1)
2)
3)
4)
5)
6)
7)
8)
9)
8 + 5 = ____
2 + (-7) = ____
(-3) + 4 = ____
(-7) + (-2) = _____
Counting or Natural numbers are _______ integers.
Natural numbers and zero are together termed as ________ numbers.
If a sign is not attached to a number, it is considered to be __________.
If the two integers have like sign then, their product is always _________.
When two integers have unlike sign, the product will have the _______
sign.
10) __ ÷ (-3) = __ 10.
11) (-27) ÷ (-27) = ___.
II. Choose the correct answer: (1m)
1) The identity element for addition is ______. ( 0 , 1 , 2 , 3 )
2) The identity element for multiplication is ______. ( 0 , 1 , 2 , 3 )
3) (-5) × (2) = ______. (10 , -10 , 7 , -7 )
III. Do as directed: (1m)
1)
2)
3)
4)
5)
6)
7)
Find the product of the following. 5 , (-3)
Find the product of the following. (-3) , 8
Find the product of the following. (-2) , (3) , (-4)
Find the product of the following.
(-3), 4, (-5), (-1)
Simplify the following
(-40) ÷ (-10)
Simplify the following
0 ÷ (-8)
Simplify the following
(-44) ÷ 4
IV. Do as directed (2m)
1) Simplify the following using appropriate property. 5 × ((-4) + 2 )
2) Simplify the following using appropriate property. (-3) × (8 – 5)
3) Simplify the following using appropriate property (4 × (-2)) + (5 × (-2))
4) Simplify a) 24 ÷ 12
b)24 ÷ (-12)
5) Simplify a) (-24) ÷ 12 b) (-24) ÷ (-12)
V. Do as directed (3m)
2
1. Monika had 5 boxes of chocolates with her. If each box contains 25 chocolates, find
the total chocolates she had?
2. Rashmi had `12,350 in her bank account. If she withdrew `200 from her account 3
times, what is the balance amount in her account?
3. In a container 45 kg sugar was there. A three years old Meena split 750gm of sugar.
How many packets of 250gm of sugar can be made from remaining sugar?
4. A company gains profit of `12 per each piece of pen and loss of `8 per each box of
pencil. The company sell 2500 pieces of pen and 4000 boxes of pencil in a month.
What is the profit or loss?
5. Patil purchased 8 packets of dharwad peda. Each packet contains equal number of
pedas. There were 320 pedas in total .Calculate the number of pedas in each packet.
UNIT - 2
FRACTIONS
I. Choose the correct answer:
(1M)
1) Proper fraction is ___________
73
2⅗,
16 11
5 14)
2) Equivalent fraction of 1 2 is ________
34
44
54
2 4)
3) Write the improper fraction of 2⅓ is ___________
63
73
83
9 3)
II Fill in the blanks:
(1M)
1) 3 7 of 42 is _________
2) 1 2 × 2 1 = _________
3) Reciprocal of ⅞ is ___________
III Do as directed:
1) Write two equivalent fractions for each of the following
a. 3 6
2) Write two equivalent fractions for each of the following
a. 7 10
3) Convert the following into mixed fraction
a. 25 12
(1M)
3
4) Convert the following into mixed fraction
97/4
5) Convert the following into improper fraction
a. 8½
6) Convert the following into improper fraction
a. 3¾
7) Multiply : 15 × ⅗
8) Multiply : ⅞ × 6
9) Multiply : 13 × ¼
10) Multiply : 6⅗ × 4
11) Multiply :9 × 2½
12) Multiply : 14 × 2 1 7
13) Multiply : 30 × 3 7 10
14) Simplify and write the answer in its lowest form .
a. 2 8 of 56
15) Simplify and write the answer in its lowest form
a. 28 of 2 7
16) Multiply and write the product in reduced form
a. 5 6 × 2 3
17) Multiply and write the product in reduced form
a. 9 5 × 5 3
18) Multiply and write the product in reduced form
a. 11 3 × 3 10
19) Write the inverse of the following:
a. 7 9
20) Write the inverse of the following:
a. 1 12
21) Write the inverse of the following:
4
a. 4⅔
IV. Do as directed:
1) Simplify
a. 3 4 + 5 3
2) Simplify
a. 3½ + ¾ + ⅖
3) Simplify
a. 4⅗ - 2 5 6
4) Multiply
a. 4⅗ × 2½
5) Multiply
a. 3 5 9 × 5
6) Multiply
a. 6 1 4 × 3 1 5
7) Multiply
a. 5 3 × 2½
8) Simplify
a. 9 ÷ ½
9) Simplify
a. 15 ‚ 1 6
10) Simplify
a. 10 ‚ 3 2 7
11) Simplify
a. 9 5 ‚ 4
12) Simplify
a. 2 ¾ ÷ 7
13) Simplify
a. 3¾ ‚ 1⅔
(2M)
5
14) Simplify
a. 3 2 7 ‚ 1⅕
15) Simplify
a. ⅞ - 1 4 × ½
V. Do as directed:
(3M)
1) A school was provided with 12 ¾l of milk for a day. Each child was given 3/20 l of
milk. Find how many children got the milk ?
2) Two students together purchased 15 note books. If the total cost of 15 note books is
142½ , find the cost of each note book.
3) Organiser of a function bought 3½ Kg of Sugar 4 times . In that, 9¾ Kg of Sugar
was used . What is the remaining quantity of sugar?
4) Raju needs 2½m of length of cloth for stitching a shirt .The shopkeeper has ½m
scale. How many times he has to use this scale to measure 2½m of cloth?
5) Solve:
2⅗ + ⅗ × 1½ - 3 10
6) Solve:
2¼ × ¾ - ¼ ÷ 2½
7) Solve:
4½ - ¼ ÷ ⅕ + ⅗
UNIT – 3
RATIONAL NUMBERS
I. Choose the correct answer:
(1M)
1) The set of natural numbers is represented by _______.
(N,
W,
Z,
Q)
2) The set of whole numbers is represented by _______.
(N,
W,
Z,
Q)
3) The set of integers is represented by _______.
(N,
W,
Z,
Q)
4) All the numbers of the form___________ are rational numbers.
( ab,
a/b,
a+b,
a-b)
5) The standard form of 3/6 is _______.
(1/2,
1/4,
1/6,
3/6)
6
6. Which is the equivalent rational number of 2/3 in the following?
(1/3,
6/12, 8/12, 4/9)
II. Fill in the blanks:
1)
2)
3)
4)
5)
(1M)
3/4=12/
-18/
=9/14
-5/6=
/24
-12/28=-3/
The set of rational numbers is represented by the letter _________.
III Solve:
(1M)
1) Put > or < symbol
3/9 __ 7/9
-5/6__-1/6
2) Write two equivalent rational numbers of -2/9
3) Write two equivalent rational numbers of 3/10
4) Write the additive inverse of -3/5
5) Write the additive inverse of 7/2
6) Write the multiplicative inverse(reciprocal) of -5/6
7) Write the multiplicative inverse of 9/10
8) Convert 45m into cm
9) Convert 2.7m into cm
10) Multiply 8.6 × 4
11) Multiply 3.7 5× 2
12) Multiply 0.2 × 0.3
IV. Do as directed:
(2M)
1) Write 120 150 in standard form.
2) Group the following rational numbers as positive and negative rational numbers
-4 5 -2 15 -11 -6,-10 7
3) Which is greater? 6 5 and 7 6
4) Find any 4 rational numbers between 3 5 and 4 5.
5) Write any 4 rational numbers between -6 5 and -7 5.
6) Find the sum -3 5 + 5 6.
7) Find the sum 2 3 + 2 9.
8) Subtract 5 8 from 1 4.
9) Multiply -7 9×6 8×-2 7
10) Divide 7 8‚ 7 6
11) Divide 2 3‚ 5 9
12) Write 4 5 in decimal form.
13) Write 3 8 in decimal form.
7
14) Classify the following as terminating , non-terminating, recurring and
terminating , non-recurring decimals
a. 8.571
b. 2.54444……
c. 0.0303…..
d. 10.56173824931…..
15) Divide 6.75 ÷ 0.25
16) Divide 68.8 ÷ 0.16
17) Write 2.7 km in metres
18) Express 625 gm in kilograms
19) Express 72.5 mg in grams
20) Convert 7.2 miles into km
V. Solve the following:
non-
(3M)
1) If the cost of sugar per kg is ` 35.45 , find the cost of 20.25 kg of sugar.
2) If a bus travels 4.25 hrs with a speed of 28.25 per hour ,then find the distance
travelled by it.
3) A box has 15¾ kg of sugar .How many packets of each containing 1¾ kg can be
made?
4) A rectangular garden has length 3⅕m and breadth 2¾m . What is its area?
5) Usha bought 5¾ kg of pulses and 2⅔ kg of vegetables from the market. What was
the total weight of pulses and vegetables she bought ?
6) As “Kshira Bhagya “ plan a school got 15¾ kg milk powder per week. If 14⅕ kg of
milk powder is used, what is the quantity of remaining milk powder ?
7) Repesent these rational numbers on number line
a. 3 7 -4 7 5 7
b. -7 4 5 4 9 4
8) Subtract
1. 5 6 from -1 6
2. 7 8 from 3 4
9) Identify terminating , non-terminating and recurring decimals
a. 5 8
b. 1 12
10) Divide
a. 0.144 ÷ 12
b. 4.97 ÷ 10
11) Divide
a. 2.86 ÷ 1.3
b. 6.25 ÷ 12.5
12) Write these in kilometers
a. 1450m
b. 17.3 m
UNIT-4
ALGEBRAIC EXPRESSIONS
I. Choose the correct answer: (1M)
8
1) Which of the following is a numerical expression?
a. 3p+4q
b. 8+5-3 c. x-y d. 3+4x
2) Which of the following is not a polynomial ?
a. x³+x²+y b. y²+xy+z c. x³+x-2+1 d. y²+xy¹′²-6
3) Which of the following is an unlike term ?
a. 3x² b. 3x c. 5x² d. ½ x²
4) The degree of a²+2ab+abc is
a. 1 b. 2 c. 3 d. 4
5) Area of rectangle is equal to
a. l+b b. l×b c. l-b d. 2l+b
II. Fill in the blanks :
1)
2)
3)
4)
5)
6)
7)
(1M)
A _______ is a number or symbol that represents only one value .
An expression having only one term is called _______.
An algebraic expression having two terms is called _______.
An expression having three terms is called _______.
The exponential form of p × p × p × p is _______.
The sum of positive integers is ________.
The sum of negative integers is ________.
III. Solve:
(1M)
1) Find the sum of 4a , 7a , 9a , 21a .
2) Group the like terms
x, y³, 2x, -8x , 6x ,-7y³
3) Write the numerical co-efficient of
a. 3xy
b. -⅔ ab
4) Write the degree of the following
a. 3x² b. z-p
5) Multiply 7x ,8y ,5z
6) Write the statement
8 is added to x
IV. Do as directed
(2M)
1) Write the diagram of terms and factors of the expression
2xy + 5
2) Write the statements
a. The product of p and q is added to 3x.
b. 3 times ‘l’ is subtracted from 5 times ‘m’.
3) Write the terms
a. ab+ bc –ca
b. 9m+6n
4) Write the co-efficient of
a. xy in -3axy.
9
b. xy in 10xy.
5) Simplify
5x +7x -3x +2x -6x
6) Find the sum
13a-4b and 4a-6b
7) Find the sum
(xy-7z) and (6z-10xy)
8) Subtract (7x+4y) from (12x+6y)
9) Subtract (13a-6b) from (17a-4b)
10) Find the product of 6xy , 2yz and 7xz.
11) Multiply (x+4) (x+8)
V. Solve the following:
(3M)
1) What should be added to ( 9m²n-12xy+10) to get (15m²n-10xy).
2) Find the product of
a. -7ab , 5bc ,-6ca
b. (3a-b)(2a+b)
3) Find the sum
a. (4x + 3y + 5z ) and ( 2x -6y -2z)
b. (4x²y-5y²z+6z²x) and (7z²x – 2x²y + 3y²x)
4) Classify the following as monomial , binomial and trinomial
a) 2x+y b) 2xy c) 5+6a+4b d) 2y-7/3z+x e) a²-3ab+c f) 3x²+5x
5) 1. By how much (6x+10y) is greater than (2x+6y)
2. Multiply (5x-2p) (5x+2p).
UNIT-5
PAIR OF ANGLES
I. Fill in the blanks:
(1M)
1) The angles having same measurement on a same plane are called __________
angles.
2) The pair of angles which have one common vertex and one common arm, which
separates the angles are called _________ angles.
3) The angles opposite to each other at the point of intersection of two lines are called
__________ angles.
4) If two angles are complementary, then the sum of their measure is ______.
5) If two angles are supplementary, then the sum of their measure is ______.
6) Two angles forming a linear pair are __________.
7) If two adjacent angles are supplementary they form a ______.
8) If two lines intersect at a point, and one pair of vertically opposite angles are acute
then the other pair of vertically opposite angles are_________.
10
II. Choose the correct answer:
(1M)
1) A pair of angles that are added together to make a right angle are called _________
angle.
(Complementary, Supplementary, Vertically opposite, Adjacent)
2) __________ angles are pair of angles on a plane whose sum is a straight angle or
180°.
(Complementary, Supplementary, Vertically opposite, Adjacent)
III. Do as directed:
(1M)
1) Find the complement of the following angle
22°
2) Find the complement of the following angle
40.5°
3) Find the complement of the following angle
84°
4) What is the type of angle that form a linear pair with acute angle?
5) Write the supplementary angle for the following
95°
6) Write the supplementary angle for the following
125.5°
7) What is the type of angle that form a linear pair with obtuse angle?
8) What is the type of angle that form a linear pair with right angle?
IV. Do as directed:
(3M)
1)
If an angle is three times of its complement, then find the measure of the pair of
angles.
2)
Of the two supplementary angles the measure of the larger angle is 50° more than
the measure of the smaller angle. Find the measure of each angle.
3)
If an angle is four times of its supplement, then find that angle.
4)
In the given figure if ∟AOC= 30° find the measurement of remaining angles
11
5)
Find the value of ‘x’ and measure of each angle from the following
6)
Find the value of x,y and z from the following :
7) Verify the following pair of angles , Are they supplementary?
a)
b)
12
8) Find the value of ‘x’ and measure of each angle from the following
Pair of Lines
I. Choose the correct answer :
(1M)
1) If two lines AB and CD are parallel we write it as ________.
( AB
CD , AB
CD ,AB
CD, AB
CD )
2) In the given figure,the point of intersection is ________.
(P,Q,O,S)
3) If the transversal is drawn to a pair of parallel lines, the pair of alternate angles
are ________.
(Equal, lie on same side, different, right angles)
II. Fill in the blanks:
(1M)
1) If two or more parallel lines cut by a transversal, then each pair of corresponding
angles is _________.
2) Any two lines on the same plane are called ___________.
3) The symbol used to denote ‘perpendicular’ is ________.
4) The symbol used to represent ‘Parallel’ is ________.
5) The line that intersects atleast two lines on same plane is called ______.
III. Solve the following:
(1M)
1) Write down the angle that corresponds to the coloured angle ?
13
2) Write down the angle that corresponds to the coloured angle ?
3) Decide whether AB is parallel to CD in the given figure
IV. Solve the following:
(2M)
1) In the following figure , write the interior angles.
14
2) Write the exterior angles in the following figure.
3) In the figures name the transversal.
15
V. Do as directed:
(3M)
1) In the given figure PQRS is a parallelogram .Find the measure of all interior angles.
2) In the figure MN
BC .Find the measure of all interior angles of ΔABC
3) Find the measure of angles of each marked letter
16
4) Find the measure of a,b,c and d.
5) Find a, b and c
17
6) Find a,b,c and d.
UNIT – 7
TRIANGLES
I. Fill in the blanks: 1m
1) The sum of the three interior angles of a triangle is __________.
2) Write the third angle of a triangle.
100o
35o
3) Write the third angle of a triangle.
65o
65o
4) Write the third angle of a triangle.
110o
36o
5) The angle which is adjacent to the exterior angle is called __________________
6) The angle opposite to the adjacent interior angle of a triangle is called
________________
7) The sum of any two sides of a triangle should be ______ than the third side.
8) _________ was Greek philosopher who introduced an important property of a right
angled triangle.
9) The side opposite to right angle is called ____________.
10) _________ is the greatest side of a right angled triangle.
11) In a right angled triangle, the square of the hypotenuse is equal to the ____ of the
squares of the other two sides.
Choose:
1) Write the third angle of a triangle.
60o
70o
18
(80º,
50º,
90º,
60º)
2) If one of the angles of a triangle is ____,it is called as right angled triangle.
(180º,
360º,
270º, 90º)
3) A triangle has three sides, if any one of the sides of the triangle is extended, and
angle which is formed outside the triangle at the vertex and this angle is called an
___________
(Interior angle,
exterior angle,
corresponding angles,
alternate angles)
II. Solve: 1m
6) Find the value of x in the following figure:
7) Find the value of x in the following figure:
8) Find the value of x in the following figure:
9) Find the value of x in the following figure:
19
10) Can these three following angles become the angles of a triangle. Why?
Sum Can it form a triangle Yes/No
o
o
o
50
60
70
11) Can these three following angles become the angles of a triangle. Why?
Sum Can it form a triangle Yes/No
o
o
o
60
70
80
12) Can these three following angles become the angles of a triangle. Why?
Sum Can it form a triangle Yes/No
65o
75o
55o
13) Can these three following angles become the angles of a triangle. Why?
Sum Can it form a triangle Yes/No
o
o
o
56
64
79
14) Can these three following angles become the angles of a triangle. Why?
Sum Can it form a triangle Yes/No
o
o
o
57
64
79
15) Verify whether a triangle can be drawn with following measures.
a. 3cm,4cm,5cm
c. 3cm,2cm,6cm
b. 2cm,6cm,6cm
d. 5cm,3cm,8cm
16) Is it possible to construct a triangle with sides 3cm,4cm and 7cm?Verify
III. Solve: 2m
1) In the figure, the two angles of triangle PQR is given(40o and 30o ). Find the third
angle of the triangle.
2) In the figure
= 60o,
= 50o Find the measures of
.
20
3) Find the value of x in the figure
4) In a triangle ABC, if
= 45o
= 65o, then find the measure of
.
5) In the adjacent figure ΔABC AB=6cm, BC=8cm and ∟B=90°. Calculate AC.
6) In triangle ABC, AB=5cm, BC= 12cm ∟ABC=90°. Calculate the length of AC.
7) Given below are the sides of a triangle. In which of these cases are the triangles
right angled?
a) 2cm,2cm,5cm
b) 1.5cm,2cm,2.5cm
c) 6cm,8cm,10cm.
IV. Solve: 3m
1) In a right angle triangle if one angle measures 35o. Find the measure of the other
two angles.
2) Construct an equilateral triangle having the side 4cm and find out the measure of
each angle.
3) In a triangle ABC
and
is greater than
by 15 then find
4) In a right angle triangle, one of the other two angle is twice the other. Find the
measure of the other two angles which is not a right angle.
5) In the figure given below, the two angles of a triangle ABC are given. Calculate the
measure of exterior angle.
21
6) In the given figure, the two angles of a triangle PQR are given. Calculate the
measure of exterior angle.
7) In the given figure if ∟BAC=50° and ∟ABC=85° then find the measure of ∟ACB
and ∟ACD
8) Find the value of x and y in the following figures.
9) Find the value of x and y in the following figures.
22
10) Find the value of x and y in the following figures.
11) Find the value of x and y in the following figures.
12) In the fig. if ∟BAC=45° and ∟ABC=75° then find the measure of ∟ACB and
∟ACD
13) In the fig ∟PQR= 50° ∟PRS= 130° find the measure of ∟QPR.
23
14) A 13m length ladder is placed slantly on the wall. If the top of the ladder reaches
a height of 12m from thr floor on the wall, calculate the distance between foot of the
ladder and the wall.
15) A flag staff is to be erected vertically on the ground . A rope is tied to the flag staff
to a pegs on the ground . The peg is 6m away from the bottom of the flag staff. If
the rope is tied to the flag staff at height of 8m from the ground, find the length of
the rope?
16) A 15m ladder reaches the wall at a height of 12m . Find how far is the foot of the
ladder from the wall.
V. Solve: 4m
a. Construct the angle ABC with the following measure AB=5cm
= 60o. Measure the
and verify the measure of
= 50o and
logically.
b. In the fig if ∟NKL= 35° ∟KNL= 30° and ∟LNM= 75° then find ∟NLM
and ∟NML .
c. In the triangle ABC, BC is produced to D. A and D are joined. If
∟BAC=60° ∟ABC=45° find ∟ACD.
24
I. Fill in the blanks:
UNIT -8
SYMMETRY
(1M)
1) If a line divides the figure into two identical halves then the figure is said to be
__________.
2) The line that divides a figure into two symmetrical parts is called the ___________.
3) A circle has _________ lines of symmetry.
4) The movement opposite to the movement of hands of a clock is called
_____________.
5) The angle by which the object rotates to take exactly the same shape of the original
is called the ___________.
6) In a complete turn, the number of times an object looks exactly the same is called
the __________.
7) Order of rotational symmetry=
II. Choose the correct answer:
(1m)
1) An equilateral triangle has _______ lines of symmetry.
(1, 2 ,3 ,4 )
2) A square has _______ lines of symmetry.
(1, 2 ,3 , 4)
3) A regular pentagon has ________ lines of symmetry.
(2 , 3 ,4 ,5)
4) A regular hexagon has _______ lines of symmetry.
(2 , 5 , 6 ,7)
5) Parallelogram has rotational symmetry of order _____.
(1, 4 ,2 ,3 )
III. Do as directed:
(1M)
1) Draw the line of symmetry for
25
2) Which of the following figures have line of symmetry?
3) Draw as many lines of symmetry as possible for the following letters.
4) Write three letters of English alphabet which have reflection symmetry but not
rotational symmetry.
5) Write three English alphabet which have both reflection and rotational
symmetry.
6) Write some numbers which has rotational symmetry.
7) Identify the rotational symmetry and reflection symmetry in the following
figure?
26
IV. Do as directed:
(2M)
1) Draw an equilateral triangle ABC, rotate the triangle through 90° and 180° with B
as the point of rotation and find the image.
2) If we rotate the figure
through 90°, 120°, 180° about O, then at which angle
does the image look like the original one. Also find the order of rotational
symmetry.
3) Find the order of rotational symmetry of the equilateral triangle ABC.
V. Do as directed:
(3M)
1) Write the number of lines of symmetry in the following :
a. An isoceles triangle
b. An equilateral triangle
c. A rhombus
d. A parallelogram
e. A regular hexagon
f. A square
2) Draw the image of following object when rotated through
a. 180°
b. 90°
3) Consider the letters of the alphabets S and I. Mark the point of symmetry and
also find the order of rotational symmetry.
VI. Do as directed:
(4m)
1) Write the number of sides, number of lines of symmetry ,Angle of rotation and
order of rotational symmetry for the following:
27
a.
b.
c.
d.
e.
5% per annum. Calculate the amount to be paid to the bank after 4 years.